{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from hduq.cgh import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "m=0\n",
    "n=1\n",
    "pp = HG(0, n) + HG(0, m)\n",
    "mm = HG(0, n) - HG(0, m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "cgh = CGH(103)\n",
    "cgh.add_modes(pp, 500, 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CGH not generated. Running cal() automatically...\n"
     ]
    }
   ],
   "source": [
    "cgh.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "cgh = CGH(103)\n",
    "cgh.add_modes([pp, mm, HG(0, 1)], [500, 500, 500], [-50, 50, 0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CGH not generated. Running cal() automatically...\n"
     ]
    }
   ],
   "source": [
    "cgh.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "mode = HG(0, 0) + HG(0, 1) + (HG(0, 0) + HG(1, 1)) + HG(0, 0) + HG(0, 1) + (HG(0, 0) + HG(1, 1)) + HG(1, 1) - HG(1, 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "HG(0, 0) + HG(0, 1) + HG(0, 0) + HG(1, 1) + HG(0, 0) + HG(0, 1) + HG(0, 0) + HG(1, 1) + HG(1, 1) - HG(1, 1)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mode"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "p = HG(0, 0) + HG(0, 1)\n",
    "m = HG(0, 0) - HG(0, 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "from myutils import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 495x375 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 318,
       "width": 318
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "imshow(np.abs(HG(0, 1).wave_function(103))**2, xlim=(1920 / 2 - 150, 1920 / 2 + 150), ylim=(1080 / 2 - 150, 1080 / 2 + 150), colorbar=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 495x375 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 318,
       "width": 318
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "imshow(np.abs(HG(0, 1).wave_function(103)), xlim=(1920 / 2 - 150, 1920 / 2 + 150), ylim=(1080 / 2 - 150, 1080 / 2 + 150), colorbar=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 495x375 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 318,
       "width": 318
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "imshow(np.angle(HG(0, 1).wave_function(103)), xlim=(1920 / 2 - 150, 1920 / 2 + 150), ylim=(1080 / 2 - 150, 1080 / 2 + 150), colorbar=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "GausPSF.fit(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from hduq import spadeutils"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['jinc',\n",
       " 'ThinLens',\n",
       " 'SincPSF',\n",
       " 'JincPSF',\n",
       " 'GausPSF',\n",
       " 'HermitGaussain1D',\n",
       " 'PlusMinus1D',\n",
       " 'Born',\n",
       " 'FisherInfo',\n",
       " 'Measure']"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "spadeutils.__all__"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "base",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
